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Finding the Fourth Proportional to 222,752.32, 307,398 and 120,781.16

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Solution

The fourth proportional to 222,752.32, 307,398 and 120,781.16 is: 166,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,752.32 : 307,398 = 120,781.16 : x
  2. Step 2: Convert to fraction form
    222,752.32/307,398 = 120,781.16/x
  3. Step 3: Cross multiply
    222,752.32x = 307,398 × 120,781.16
  4. Step 4: Simplify right side
    222,752.32x = 37,127,887,021.68
  5. Step 5: Solve for x
    x = 37,127,887,021.68/222,752.32
  6. Step 6: Final answer
    x = 166,677.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.